Recent Tutoring Session Reviews
"Today the student and I covered several problems on a practice AP exam. The problems were difficult, but most of the time was spent discussing strategies and mental approaches to the questions, which he grasped quickly. The topics covered include: disk and shell integration, solving for the volumes of spaces defined by graphs/rotated around axes or straight lines, Riemann approximations of discrete data, and gleaning information about functions from the graphs of their derivatives. For the most part, he has been picking up concepts quickly."
"We covered: alternating series: divergence test, comparison test, using knowledge of rational functions, rates of increase, and positive series to estimate convergence/divergence."
"Today, we covered wholesale, retail, and markup prices and percentages. We also did sales tax and tips on food bills."
"To test the student on his test taking skills, I gave him an extremely hard practice test of 13 questions that were designed for an algebra 2/ PreCalc student so he could practice using strategies in the face of questions he can't answer. I was very impressed with the 5 or so he got correct, using the math he knows with educated guesses, and his reasoning for the rest was very sound in the face of concepts he has never seen before. This also gave us an opportunity to expose him to some things that will likely come up in 8th grade, such as negative exponents, expanding on the Cartesian coordinate system (transformations and translocations of figures), and applications of rate and velocity. I look forward to hearing how his first week of math goes!"
"We reviewed multiplication. The student was much better and was able to perform multiplication in his head to a large degree, which he wasn't able to do well last time. We will move on to division next time with the occasional review of multiplication."
"Today we spent much time going through a practice ACT for an ACT prep course at the student's school. We talked about counting principles, set theory, number systems, and solving equations by graphing and finding intersections. He is to complete the rest of the ACT math section by himself. Today was a very successful session."